Pith Number

pith:BENZK3US

pith:2009:BENZK3USGGMRC6ZFBUWKFFUWML

not attested not anchored not stored refs pending

Boundedness results for finite flat group schemes over discrete valuation rings of mixed characteristic

Adrian vasiu, Thomas Zink

arxiv:0911.2474 v3 · 2009-11-12 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BENZK3USGGMRC6ZFBUWKFFUWML}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:50:22.192918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091b956e923199117b250d2ca2969662eeba62d93d786a8e48c9bdb472e4156f

Aliases

arxiv: 0911.2474 · arxiv_version: 0911.2474v3 · doi: 10.48550/arxiv.0911.2474 · pith_short_12: BENZK3USGGMR · pith_short_16: BENZK3USGGMRC6ZF · pith_short_8: BENZK3US

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BENZK3USGGMRC6ZFBUWKFFUWML \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 091b956e923199117b250d2ca2969662eeba62d93d786a8e48c9bdb472e4156f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18691d0567399f09e6e8f07f66af7c63b6c35e1df6cf9ce37ddfd2709907046",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-12T21:03:21Z",
    "title_canon_sha256": "c49fb899336dbab4a90d51c29b7101abe35c05e6550754729cdcdb0f94253948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2474",
    "kind": "arxiv",
    "version": 3
  }
}